The symplectic non-squeezing properties of mass subcritical Hartree equations

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• 作者：Kai Yang ^{kai-yang@uiowa.edu}
• 关键词：Hartree equation ; Symplectic non-squeezing ; Weak well-posedness ; Finite dimensional approximation
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 May 2017
• 年：2017
• 卷：449
• 期：1
• 页码：427-455
• 全文大小：542 K
• 卷排序：449

文摘

We prove the non-squeezing properties of all mass subcritical Hartree equations on RdRd (d≥2d≥2). The result is achieved by elaborating and generalizing some of the techniques in  and  by Killip–Visan–Zhang, and two major ingredients are the weak well-posedness for a sequence of changing equations and approximation to an infinite dimensional problem by finite dimensional problem.